Home
Class 11
MATHS
Find the point of discontinuity of the f...

Find the point of discontinuity of the function
`f(x)={:{(sinx,x lt 0),(1-cosx,0 le xle pi),(cosx, x gtpi):}`

Text Solution

Verified by Experts

The correct Answer is:
`pi`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.2|15 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.3|13 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|11 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

  • EXAMINATION QUESTION PAPER - JUNE 2019

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Find the points of discontinuity of the function: f(x)=1/(2sinx-1)

f(x)={{:(sinx", "xlt0),(1-cosx", "0lexlepi),(cosx", "xgtpi):}

Find the points of discontinuity of the function f, where f(x)={:{(sinx,0lexlepi/4),(cosx,pi/4lt x lt pi/2):}

Find the points of discontinuity of the function f, where f(x)={{:(sinx", "0lexlepi/4),(cosx", "pi/4ltxltpi/2):}

Find the points of discontinuity of the function f, where f(x)={:{(4x+5,if,xle3),(4x-5,f,x gt3):}

Find the points of discontinuity of the function f, where f(x)={:{(x^3-3,if,xle2),(x^2+1,if,xgt2):}

Find the points of discontinuity of the function f, where f(x)={{:(4x+5", ""if "xle3),(4x-5", ""if "xgt3):}

Find the points of discontinuity of the function f, where, f(x)= {{:(4x+5, "if",xle3),(4x-5 ,"if",xgt3):}

FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.1
  1. Complete the table use the result the estimate the limits lim( x to ...

    Text Solution

    |

  2. Find the value of limit lim(x to 0) (x (e^(x) -1))/(1-cosx)

    Text Solution

    |

  3. Find the limits lim(x to 4) (x^3 - 64)/(x^2 -16)

    Text Solution

    |

  4. Find the limits lim(x to 1) (x^2+2)

    Text Solution

    |

  5. Find the limits lim(x to 2) f(x) where f(x)={:{(4-x,x ne2),(0,x=2):}

    Text Solution

    |

  6. Find the limits lim (x to 1) f(x) where f(x)={:{(x^2+2,x ne1),(1,x=1...

    Text Solution

    |

  7. Find the limits lim( x to 3) 1/(x-3)

    Text Solution

    |

  8. Find the limits lim(x to 5) (-|x-5|)/((x-5))

    Text Solution

    |

  9. Find the limits lim(x to 1) (pi x)

    Text Solution

    |

  10. Find the limits lim(x to 0) (sec x)

    Text Solution

    |

  11. Find the limits lim(x to pi/2) tan x

    Text Solution

    |

  12. Sketch graph and identify the values of x for which lim f(x) exists. ...

    Text Solution

    |

  13. Find the point of discontinuity of the function f(x)={:{(sinx,x lt 0...

    Text Solution

    |

  14. Sketch the graph of a function f that satifies the given values: f(0...

    Text Solution

    |

  15. Sketch the graph of a function f that satifies the given values: f(-...

    Text Solution

    |

  16. Write a brief description of the meaning of the notation lim(x to 8) f...

    Text Solution

    |

  17. If f(2)=4, can you conclude anything about the limit of f(x) as x appr...

    Text Solution

    |

  18. If the limit of f(x) as x approaches 2 is 4, can you conclude anything...

    Text Solution

    |

  19. Evaluate : lim(x to 2) (x^2-4)/(x-2) if it exists by finding f(2^-) an...

    Text Solution

    |

  20. Verify the existence of lim(x to 3) f(x), where f(x)={:{(|x-3|/(x-3),f...

    Text Solution

    |